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682930680 = 233519476373
BaseRepresentation
bin101000101101001…
…011000111111000
31202121001110202220
4220231023013320
52344312240210
6151433324040
722631546355
oct5055130770
91677043686
10682930680
11320550a23
12170866620
13ab643bc3
14669b362c
153ee4ec70
hex28b4b1f8

682930680 has 128 divisors (see below), whose sum is σ = 2202854400. Its totient is φ = 168832512.

The previous prime is 682930673. The next prime is 682930691. The reversal of 682930680 is 86039286.

682930680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103974 + ... + 110346.

It is an arithmetic number, because the mean of its divisors is an integer number (17209800).

Almost surely, 2682930680 is an apocalyptic number.

682930680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 682930680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101427200).

682930680 is an abundant number, since it is smaller than the sum of its proper divisors (1519923720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

682930680 is a wasteful number, since it uses less digits than its factorization.

682930680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6453 (or 6449 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 682930680 is about 26132.9424290492. The cubic root of 682930680 is about 880.6274278906.

The spelling of 682930680 in words is "six hundred eighty-two million, nine hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 47 57 60 76 94 95 114 120 141 152 188 190 228 235 282 285 376 380 456 470 564 570 705 760 893 940 1128 1140 1410 1786 1880 2280 2679 2820 3572 4465 5358 5640 6373 7144 8930 10716 12746 13395 17860 19119 21432 25492 26790 31865 35720 38238 50984 53580 63730 76476 95595 107160 121087 127460 152952 191190 242174 254920 299531 363261 382380 484348 599062 605435 726522 764760 898593 968696 1198124 1210870 1453044 1497655 1797186 1816305 2396248 2421740 2906088 2995310 3594372 3632610 4492965 4843480 5691089 5990620 7188744 7265220 8985930 11382178 11981240 14530440 17073267 17971860 22764356 28455445 34146534 35943720 45528712 56910890 68293068 85366335 113821780 136586136 170732670 227643560 341465340 682930680